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Finding the Fourth Proportional to 794.87, 1,192.50 and 642.18

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Solution

The fourth proportional to 794.87, 1,192.50 and 642.18 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.87 : 1,192.50 = 642.18 : x
  2. Step 2: Convert to fraction form
    794.87/1,192.50 = 642.18/x
  3. Step 3: Cross multiply
    794.87x = 1,192.50 × 642.18
  4. Step 4: Simplify right side
    794.87x = 765,799.65
  5. Step 5: Solve for x
    x = 765,799.65/794.87
  6. Step 6: Final answer
    x = 963.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.